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7,713,832

23 × 7 × 23 × 53 × 113
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 23 × 53 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,729,280
Proper Divisor Sum 10,015,448
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7713817 ← → #7713841

Radix Representation

Decimal 7713832
Binary 11101011011010000101000 (23 bits)
Octal 0o35332050
Hexadecimal 0x75B428

Divisor Catalog (60 of 64)

1 2 4 7 8 14 23 28 46 53 56 92 106 113 161 184 212 226 322 371 424 452 644 742 791 904 1,219 1,288 1,484 1,582 2,438 2,599 2,968 3,164 4,876 5,198 5,989 6,328 8,533 9,752 10,396 11,978 17,066 18,193 20,792 23,956 34,132 36,386 41,923 47,912 68,264 72,772 83,846 137,747 145,544 167,692 275,494 335,384 550,988 964,229

Collatz Trajectory (80 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,713,832 3,856,916 1,928,458 964,229 2,892,688 1,446,344 723,172 361,586 180,793 542,380 271,190 135,595 406,786 203,393 610,180 305,090 152,545 457,636 228,818 114,409 343,228 171,614 85,807 257,422 128,711 386,134 193,067 579,202 289,601 868,804 434,402 217,201 651,604 325,802 162,901 488,704 244,352 122,176 61,088 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38

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